In Week 10 of Pre-Valc we reviewed all of the 4 units to prepare ourselves for the midterm. While reviewing I am strong in understanding the graphing unit since we just convered that and I am confident in solving radical equations, but during my review I paid extra attention to the first unit were we covered arithmetic/geometric sequences and series.
Arithmetic Sequences:
- It is the pattern of the Sequence (adding numbers or subtracting numbers)
- The common difference (d) is the number that the pattern adds or subtracts by
- You can find by using the formula = + (n-1)d
Arithmetic Series
- It is the sum of the n terms of a sequance
- You can find the by using the formula + ) or + (n-1)d) if you don’t know the
Geometric Sequence
- Each of the terms is multiplied by a number, know as the common ratio (r)
- to find use the formula = a
Geometric Series
- It is the sum of the terms
- In a Geometric Series their can be a diverging series with no sum; when a geometric series diverges that means that the numbers are getting bigger
- Or a converging series with a infinite sum; When a geometric series converges that means that the numbers are getting closer together
- To find the use the fomula = a (
- To find the use the formula